Finding the Third Proportional to 94,041 and 205,578

Step by Step Solution

1. Step 1: Write the proportion equation
   94,041 : 205,578 = 205,578 : x
2. Step 2: Convert to fraction form
   94,041/205,578 = 205,578/x
3. Step 3: Cross multiply
   94,041x = 205,578 × 205,578
4. Step 4: Simplify right side
   94,041x = 42,262,314,084
5. Step 5: Solve for x
   x = 42,262,314,084/94,041
6. Step 6: Final answer
   x = 449,403.07